Geometric aspects of singular dislocations

Marcelo Epstein, Reuven Segev

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


The theory of singular dislocations is placed within the framework of the theory of continuous dislocations using de Rham currents. For a general n-dimensional manifold, an (n - 1)-current describes a local layering structure and its boundary in the sense of currents represents the structure of the dislocations. Frank's rules for dislocations follow naturally from the nilpotency of the boundary operator.

Original languageEnglish
Pages (from-to)337-349
Number of pages13
JournalMathematics and Mechanics of Solids
Issue number4
StatePublished - 27 Jun 2014


  • Continuum mechanics
  • Frank's rules
  • de Rham currents
  • differential forms
  • dislocations
  • singularities

ASJC Scopus subject areas

  • General Mathematics
  • General Materials Science
  • Mechanics of Materials


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